Finding the Fourth Proportional to 305,351,208,014.60, 421,414,431,276.52 and 228,054,852,704.70
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Solution
The fourth proportional to 305,351,208,014.60, 421,414,431,276.52 and 228,054,852,704.70 is: 314,737,926,459.45
Step by Step Solution
- Step 1: Write the proportion equation
305,351,208,014.60 : 421,414,431,276.52 = 228,054,852,704.70 : x - Step 2: Convert to fraction form
305,351,208,014.60/421,414,431,276.52 = 228,054,852,704.70/x - Step 3: Cross multiply
305,351,208,014.60x = 421,414,431,276.52 × 228,054,852,704.70 - Step 4: Simplify right side
305,351,208,014.60x = 96,105,606,052,401,706,434,560 - Step 5: Solve for x
x = 96,105,606,052,401,706,434,560/305,351,208,014.60 - Step 6: Final answer
x = 314,737,926,459.45
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.